Question

-x/2 + 3/2 < 5/2 Solve the inequality. Show your work

Answer 1

x > -2

Explanation:

`-(x)/(2) + (3)/(2) < (5)/(2)`

Subtract ³/2 from each side

`-(x)/(2) + (3)/(2) - (3)/(2) < (5)/(2) - (3)/(2)`

`-(x)/(2) < (5 - 3)/(2)`

`-(x)/(2) < (2)/(2)`

`-(x)/(2) < 1`

Multiply both sides by -2 (multiplying both sides by a negative number will change the sign of inequality from < to >)

`-(x)/(2) * -2 < 1 * -2`

x > -2